Answer:
Carlos and Pamela drove 120 miles on the first day, 240 miles on the second day, and 290 miles on the third day.
Step-by-step explanation:
Let x be the number of miles driven on the first day.
Then they drove twice as many miles, or 2x on the second day
and 50 miles more than the second day's, so 2x + 50
The total is 650 across all three days, so we'll take the sum.
x + 2x + (2x + 50) = 650
Combine like terms on the left
5x + 50 = 650
Subtract 50 on both sides
5x = 600
Divide by 5 on both sides
x = 120
Check work:
120 + 2(120) + 2(120) + 50 = 650
120 + 240 + 240 + 50 = 650
600 + 50 = 650
650 = 650
So they drove 120 miles on the first day
2*120 = 240 miles on the second day
and 2*120 + 50 = 240 + 50 = 290 miles on the third day
write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).
What are three types of arrays?The three types of arrays are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
To learn more about array visit the link:
https://brainly.com/question/13261246
#SPJ1
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?
An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.
What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
To learn more about array visit the link:
https://brainly.com/question/29641515
#SPJ1
Write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 12x+4y+3z=12.(a) Evaluate the first integral.(b) Write an integral that represents the volume in the order dx dy dz.
The first integral to evaluate the volume of the tetrahedron is \(\int\limits\int\limits \int\limits R dV\). The integral that represents the volume in the order dx dy dz is \(\int\limits\int\limits \int\limits R dz dy dx\).
(a) Evaluating the integral ∫∫∫ R dV:
The limits of integration for z will be determined by the intersection of the plane and the coordinate axes. When x = 0 and y = 0, we have 12(0) + 4(0) + 3z = 12, which gives z = 4. When z = 0, we have 12x + 4y + 3(0) = 12, which gives 12x + 4y = 12. Dividing by 4, we get 3x + y = 3, which represents the line in the xy-plane.
To find the limits of integration for y, we need to consider the bounds of this line. When x = 0, we have y = 3; when x = 1, we have y = 0.
Finally, the limits of integration for x will be 0 to 1, as we are in the first octant.
So, the first integral to evaluate the volume is \(\int\limits^1_0 \int\limits^0_3 \, \int\limits^{({12-3x-4y} )}_4 \, dz dy dx.\)
(b) Writing the integral in the order dx dy dz:
The limits of integration for x will be determined by the intersection of the plane and the coordinate axes.
When y = 0 and z = 0, we have 12x + 4(0) + 3(0) = 12, which gives x = 1.
When x = 0, we have 12(0) + 4y + 3z = 12, which gives 4y + 3z = 12.
Dividing by 4, we get \(y + (\frac{3}{4})z = 3\), which represents the line in the yz-plane.
To find the limits of integration for y, we need to consider the bounds of this line. When z = 0, we have y = 3; when z = 4, we have y = 0.
Finally, the limits of integration for z will be 0 to 4, as we are in the first octant. Therefore, the integral that represents the volume in the order dx dy dz is:
\(\int\limits^1_0\int\limits^{4(1-(3/4)z}_{3}\int\limits^{12-4y-(3/4)z}_0 \, dx dy dz\).
Learn more about integrals here:
https://brainly.com/question/22008756
#SPJ4
a water spinkler sends water out in a circular pattern how large is the watered area if the watering pattern is 12 ft
Answer:
The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
answerrrr please . thanks xoxo
y-2>11
Answer:
y >13
Step-by-step explanation:
y - 2 > 11
solve like how you would solve an equation, with inverse operations
y -2 > 11
+2 +2
y > 13
Answer:
it shoud just be y>13
Step-by-step explanation:
bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13
Who is correct? Fred or Felicity?
Answer: Felicity
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
I hope this helps, and enjoy the rest of your day!
what is the rule for the reflection
Step-by-step explanation:
We reflect We triangle across both axis so the x and y values will both switch.
Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.
Second Quadrant are
^;8+1—](
can you guys see the question better now or no the should be a little thing on the image saying enlarge the picture im using a computer so that is why i can see it on my screen
Part A: The translation from triangle ABC to triangle A'B'C' moves every point (x, y) 4 units to the left and 3 units up.
Part B: To find the vertices of A'B'C', we apply the translation rule to each vertex of ABC:
A(-3, 1) + (-4, 3) = (-7, 4)
B(-3, 4) + (-4, 3) = (-7, 7)
C(-7, 1) + (-4, 3) = (-11, 4)
Therefore, the vertices of A'B'C' are A'(-7, 4), B'(-7, 7), and C'(-11, 4).
Part C: To rotate triangle A'B'C' 90° clockwise about the origin, we need to swap the x and y coordinates of each point and negate the new y coordinate. This gives us:
A'(-7, 4) → A"(4, 7)
B'(-7, 7) → B"(7, 11)
C'(-11, 4) → C"(4, 11)
To determine if ∆ABC is congruent to ∆A"B"C", we need to check if they have the same shape and size. Since ∆A"B"C" is a rotation of A'B'C', it has the same shape as A'B'C'. To check if it has the same size, we can compare the lengths of the sides of A'B'C' and A"B"C":
A'B' = sqrt[(7 - 4)^2 + (7 - 4)^2] = sqrt(18)
B'C' = sqrt[(-11 - (-7))^2 + (4 - 7)^2] = 5
C'A' = sqrt[(-11 - (-7))^2 + (4 - 4)^2] = 4
A"B" = sqrt[(7 - 4)^2 + (11 - 7)^2] = sqrt(18)
B"C" = sqrt[(4 - 7)^2 + (11 - 11)^2] = 3
C"A" = sqrt[(4 - 4)^2 + (7 - 11)^2] = 4
We can see that the corresponding sides of A'B'C' and A"B"C" have the same lengths, so they are congruent. Therefore, ∆ABC is congruent to ∆A"B"C".
{10, 12, 24, 50, 60, 100, 260, 480, 606, 1000}. What is the probability that
a number selected randomly from the set will be divisible by both 4 and 6?
Answer:2/5
Step-by-step explanation:
Just guess and check if each number is divisible by 6 and 4. It needs to be both numbers so a number like 606 that you can only divide by 6 would not work. The numbers 12, 24, 60, and 480 work for 6 and 4. This is if you want for the quotient (answer) to be a whole number. Technically any number is divisible by 4 and 6. If the answer you want is in whole numbers you should get 4/10 or 2/5.
helpppppppppp meeeeeeeeeee 50points
Answer:
1) 48
2)44
Step-by-step explanation:
Answer: 48 44 Are The Correct Answers
Step-by-step explanation:Hope This Helps
Assume the number of Continental Hotel Rewards Points that John Wick earns every day follows an approximately normal distribution with unknown mean and unknown standard deviation. Let n = 16, s = 16, α = 0.05 Test H 0 : μ = 100 vs HA :μ < 100. (a) Define a rejection region for H0 in terms of X
(b) Based on the rejection region in part (a), what is the power of this test at the following values of μ : μ= 99? μ=97? (c) Sketch a power curve with these two points, and label α.
To define a rejection region for H0 in terms of X, we need to determine the critical value(s) that correspond to the significance level α = 0.05. Since this is a one-tailed test with HA: μ < 100, we'll be looking for the critical value that falls in the left tail of the distribution.
Using the given sample size n = 16, we can calculate the degrees of freedom as (n - 1) = (16 - 1) = 15. Then, referring to the t-distribution table or a statistical calculator, we find the critical value corresponding to α = 0.05 and 15 degrees of freedom. Let's call this critical value tc.
(b) The power of a test is the probability of correctly rejecting the null hypothesis when the alternative hypothesis is true. In this case, we want to find the power of the test at different values of μ: μ = 99 and μ = 97.
To calculate the power, we need to determine the probability of rejecting the null hypothesis when μ = 99 and μ = 97, respectively. This can be done by finding the respective p-values for these values of μ and comparing them to the significance level α.
(c) A power curve shows the relationship between the power of the test and different values of the population mean μ. In this case, we can plot the power of the test at μ = 99 and μ = 97 on a graph, with the x-axis representing the values of μ and the y-axis representing the power. We also label the significance level α on the graph.
Know more about critical value here:
https://brainly.com/question/30168469
#SPJ11
Find the expected value of the winnings from a game that has the following payout probability distribution. Round to the nearest hundreath.
The expected value of the winnings from a game will be \(2.96\) .
What is Probability ?Probability is the ratio of the number of possible outcomes to the total number of outcomes.
we have,
Payout \((\$) = 0,\ \ \ 1,\ \ \ 2,\ \ \ 5,\ \ \ 10\)
Probability \(=0.12,0.2,0.38,0.2,0.1\)
So,
To find the expected value,
Now,
Multiply payout values with its probability and sum these values,
i.e.
Expected value \(= (0*0.12)+(1*0.2)+(2*0.38)+(5*0.2)+(10*0.1)\)
\(=0+0.2+0.76+1+1\)
Expected value \(=2.96\)
Hence, we can say that the expected value of the winnings from a game will be \(2.96\) .
To know more about Probability click here
https://brainly.com/question/27579447
#SPJ2
hii pls help i’ll give brainliest if you give a correct answer
Answer:
A
Step-by-step explanation:
The Moon actually takes 27.3 days to complete one orbit around Earth
Answer: D
Step-by-step explanation:
Most likely D because the more needs to rotate and the axis is north which the moon spins
biblical tithing basically means you will give ______ percent of your income to the lord. 20 5 10 25
Biblical tithing basically means you will give 10 percent of your income to the lord.The word tithe refers to "tenth" or "tenth part," so biblical tithing implies offering one-tenth of one's income to the church.
Biblical tithing is the method of giving the first fruits of one's labor to the Lord. Tithing originated from the Old Testament in which people would offer 10% of their harvest to the Lord.Tithing is a way of giving back to God as well as to others, according to the Bible.
As a result, Christians are required to tithe a tenth of their earnings. While this might appear to be a significant amount of money, if Christians can trust God with their finances, they can discover that he blesses them in ways they never imagined. In the New Testament, there is no specific requirement to tithe, but Christians are urged to give generously to the church and those in need.
To know more about Tithing visit-
brainly.com/question/15700890
#SPJ11
f(2) = ? pls helpppppp
Answer:
-2
Step-by-step explanation:
f(2): take the (2) from the f(2) because that's the x value.
you go to where it's 2 on the x-axis.
f(x)=f(2)
f(x)=y
so you are trying to find the y-axis number when you are at 2 on the x-axis.
whichhh is -2
Nellie bought 4 pairs of Airpods Max for $2258.36. How much did she pay
for each of the Airpods Max? *
Answer:
$564.59
Step-by-step explanation:
you divide.
I need your help, please answer!!
Answer:
includes cluster lienier includes oulier
Step-by-step explanation:
:)
Darryl mixed 4 cups of white paint with 6 cups of red
paint, but didn't have enough to finish painting his wall.
How much red paint would he need to add to 1 cup of
white paint to match the color?
Answer:
3 cups of red paint and \(\frac{14}{3}\) cups of white paint
1
2
3
4
5
Complete the following sentence.
Government benefit programs have been established for a range of
TIME F
assistance.
15
Government benefit programs have been established for a range of assistance over time.
What is context of above answer?
The answer given was "Government benefit programs have been established for a range of assistance." This sentence is referring to various programs created by the government to provide support or aid to those in need.
These programs may include financial assistance, food assistance, housing assistance, medical assistance, and more. The sentence suggests that the government recognizes the importance of providing help to individuals and families who may be struggling and has taken steps to create programs to address these needs.
To know more about Government Program related questions, visit:
https://brainly.com/question/30064131
#SPJ1
Complete Question:
What types of assistance have government benefit programs been established for?
Find C.Round to the nearest tenth.с17 ft8 ftA16 ftB В.C = [?]o
Let's begin by identifying key information given to us:
\(\begin{gathered} AC=b=8ft \\ AB=c=16ft \\ BC=a=17ft \\ \angle C=? \end{gathered}\)To obtain the angle C, we will use the Law of Cosines as shown below:
\(\begin{gathered} c^2=a^2+b^2-2ab\cdot cosC \\ We\text{ will make ''C'' the subject of the formula, we have:} \\ 2ab\cdot cosC=a^2+b^2-c^2 \\ cosC=\frac{a^2+b^2-c^2}{2ab} \\ a=8ft,b=16ft,c=17ft \\ cosC=\frac{16^2+8^2-17^2}{2\times8\times16}=\frac{256+64-289}{256}=\frac{31}{256} \\ cosC=0.121 \\ C=cos^{-1}(0.121)=83.05\approx83.1 \\ C=83.1^{\circ} \\ \\ \therefore C=83.1^{\circ} \end{gathered}\)04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
PLS HELP I WILL GIVE BRAINLIEST PLS
Answer:
B.
Step-by-step explanation:
x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.
help me pls help me pls
Answer:
v = k\(\sqrt{E}\)
Step-by-step explanation:
Given v is proportional to \(\sqrt{E}\) then the equation relating them is
v = k\(\sqrt{E}\) ← k is the constant of proportion
Answer:
v = k√E
Step-by-step explanation:
v is proportional to square root of E means:
v ϱ √E
the general formula for variation is y=kx
as y is proportional to x
it is known that 15% of the calculators shipped from a particular factory are defective. what is the probability that exactly four of ten chosen calculators are defective?
With the help of probability we can conclude our answer.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.acc to our question-
The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, whereC5 3= 5!/3/2=4*5/2=10p is the probability that one randomly selected calculator is defective= 10%=0.1q is the probability that one randomly selected calculator is non-defective.q=1-p=1-0.1=0.9So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081learn more about probability click here:
brainly.com/question/13604758
#SPJ4
For the Adjusted R Squared, which of the following is true: a. Is the same R 2
as in the simple linear regression b. Can decrease if the addition of another X regressor does not lower SSR enough relative to the impact of the increase of k by another X regessor. c. Is between 0 and 1 d. Measures the ratio of the sum of squared residuals compared to the total sum of squares
The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.
The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.
Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.
However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.
Learn more about squared residuals here: brainly.com/question/30641534
#SPJ11
what is 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?
A. 8.3 x 10^1
B. 0.83 x 10^2
C. 83 x 10^2
D. 830 x 1^1
HELP ASAPPPP!!!!!!!!!!!!
The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹
What is the number 2.49 x 10^4 divided by 3.0 x 10^2 written in scientific notation?According to the task content, it follows that the result of the quotient is to be determined.
The quotient can be evaluated as follows;
= (2.49 × 10⁴)/(3.0 × 10²)
= (2.49/3.0) × (10⁴/10²)
= 0.83 × 10²
Hence, when expressed in scientific notation, the result is; 8.3 × 10¹.
Ultimately, The rewritten form of the number 2.49 x 10^4 divided by 3.0 x 10^2 in scientific notation as required in the task content is; Choice A; 8.3 × 10¹.
Read more on scientific notation;
https://brainly.com/question/27862246
#SPJ1
what does the adjusted r squared tell us about the relationship between sales, price, and advertising? the model explains about 90% of the variance in sales. the model explains about 60% of the variance in sales. the model explains about 80% of the variance in sales. the model explains about 70% of the variance in sales.
The modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
Define the term adjusted r squared?R-squared (R2) would be a statistical measure that quantifies the proportion of the variation explained from an independent variable other variables within a regression model for a dependent variable.
R-squared describes how much the variance with one variable describes the variance of the other. So, if a model's R2 is 0.50, the model's inputs can explain roughly half of a observed variation.A score of 70 to 100 shows that a specific portfolio closely reflects the underlying stock index, whereas a score of 0 to 40 indicates a relatively poor correlation the with index.Higher R-squared scores also suggest that beta measurements are more reliable. The volatility of either a security or portfolio is measured by beta.Thus, the modified r squared tells us more about the relationship among sales, price, as well as advertising by explaining approximately 60% of a variance in sales.
To know more about the adjusted r squared, here
https://brainly.com/question/14364216
#SPJ4
if necessary, how can a student determine the change in angular momentum δlδl of the cylinder from t=0t=0 to t=t0t=t0?
To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:
ΔL = I * Δω
where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.
To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:
Δω = ωt0 - ω0
Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.
The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:
I = (1/2) * m * r^2
where m is the mass of the cylinder and r is the radius of the cylinder.
By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.
It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.
To learn more about angular momentum click here:
brainly.com/question/31592991
#SPJ11
There are 4512 marbles which will be divided equally among 48 students how many marbles will each student get
Answer:
94 marbles
Step-by-step explanation:
4512/48 = 94
Which translation will change figure ABC to figure A'B'C'?
A coordinate plane is shown. Figure ABC is composed of coordinates A, negative 4 comma negative 1, B, negative 1 comma negative 1, C, and negative 2 comma negative 3. Figure A prime, B prime, and C prime is composed of coordinates A prime, 0 comma 2, B prime, 3 comma 2, C prime, 2 comma 0.3 units right and 3 units up
4 units right and 3 units up
4 units right and 4 units up
4 units left and 3 units down
please help!!!!
Answer:
the answer is c
Step-by-step explanation:
im dumb don't listen but I know you will figure it out if you use you brain and you notes ; )
Tyler was looking at this system of equations: x+y=5 and x+y=7
He said, "Just looking at the system, I can see it has no solution. If you add two numbers the sum can;t be equal to two different numbers. " Do you agree with Tyler?
Yes, I agree with Tyler. The system of equations given by x+y=5 and x+y=7 represents two parallel lines in a 2D coordinate plane.
The first equation x+y=5 represents a line passing through the points (5, 0) and (0, 5).
The second equation x+y=7 represents a line passing through the points (7, 0) and (0, 7).
Since the lines are parallel and have the same slope, they never intersect, and there is no solution that satisfies both equations simultaneously.
Therefore, Tyler is correct in saying that the system has no solution.
To know more about Equations, visit: brainly.com/question/29657988
#SPJ4